Finding the Third Proportional to 31,963 and 69,546.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,963 : 69,546.50 = 69,546.50 : x
2. Step 2: Convert to fraction form
   31,963/69,546.50 = 69,546.50/x
3. Step 3: Cross multiply
   31,963x = 69,546.50 × 69,546.50
4. Step 4: Simplify right side
   31,963x = 4,836,715,662.25
5. Step 5: Solve for x
   x = 4,836,715,662.25/31,963
6. Step 6: Final answer
   x = 151,322.33